A Bottleneck Model Considering Indifference-zone of Traveler's Arrival Time
In order to remedy the defects of Vickrey bottleneck model and its extension research,which ignore the characteristics of travelers'bounded rationality,so as to reduce the error of bottleneck model and alleviate urban traffic congestion,commuters'bounded rationality time understanding is combined with bottleneck model.Based on the assumption that traveler's perception of arrival time has indifference zone,a bottleneck model considering the asymmetry of traveler's arrival time indifference-zone is established,and the departure rate and equilibrium solution analysis are carried out.The indicators of equilibrium departure rate,total cost,equilibrium cost,maximum queue length and total queue cost are derived in detail by numerical analysis.Furthermore,the new model is extended to the cases of indifference band symmetry,early arrival time indifference band and late arrival time indifference band,and the departure rate analysis and equilibrium solution analysis are performed as well.By comparing with the basic bottleneck model,the properties of traveler's departure time decision and equilibrium solution are analyzed in the bottleneck model considering indifference-zone asymmetry and 3 expansion cases.Finally,the conclusions are verified by numerical examples.The result shows that(1)the total cost,equilibrium cost,total early arrival cost,total late arrival cost and maximum queue length all become smaller under the condition of arrival time indifference-zone,and the decreasing amplitude is related to the sum of the widths of arrival time indifference-zone;(2)the commuter departure rate function changes from 2 stages to 3 stages;(3)the commuting peak may be advanced or delayed,and the specific time is determined by the unit early arrival time cost,unit late arrival time cost,width of indifference-zone and other parameters;(4)the use of flexible working system can homogenize peak traffic flow,thereby reducing congestion.
urban trafficdeparture time decisionnumerical analysisbottleneck modelbounded rationality